GCD of 914, 700, 170, 972 Calculator

Given Input numbers are 914, 700, 170, 972

In the factoring method, we have to find the divisors of all numbers

Divisors of 914 :

The positive integer divisors of 914 that completely divides 914 are.

1, 2, 457, 914

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 170 :

The positive integer divisors of 170 that completely divides 170 are.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

GCD of numbers is the greatest common divisor

So, the GCD (914, 700, 170, 972) = 2.

Given numbers are 914, 700, 170, 972

The list of prime factors of all numbers are

Prime factors of 914 are 2 x 457

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 170 are 2 x 5 x 17

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 914, 700, 170, 972 is 2.

Given numbers are 914, 700, 170, 972

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(914, 700) = 319900

GCD(914, 700) = ( 914 x 700 ) / 319900

= 914 / 700

= 914

Step2:

LCM(2, 170) = 170

GCD(2, 170) = ( 2 x 170 ) / 170

= 2 / 170

= 2

Step3:

LCM(2, 972) = 972

GCD(2, 972) = ( 2 x 972 ) / 972

= 2 / 972

= 2

So, Greatest Common Divisor of 914, 700, 170, 972 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 113, 662, 805, 901
• GCD of 549, 138, 702, 760
• GCD of 662, 403, 715, 759
• GCD of 921, 479, 805, 331
• GCD of 766, 242, 448, 541

Given numbers are 914, 700, 170, 972
The greatest common divisor of numbers 914, 700, 170, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 914, 700, 170, 972 is 2.

1. What is the GCD of 914, 700, 170, 972?

GCD of given numbers 914, 700, 170, 972 is 2

2. How to calculate the greatest common divisor of 914, 700, 170, 972?

We can find the highest common divisor of 914, 700, 170, 972 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 914, 700, 170, 972 i.e 2.

3. How can I use the GCD of 914, 700, 170, 972Calculator?

Out the numbers 914, 700, 170, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.